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Finding the Fourth Proportional to 308,251.50, 462,470.49 and 218,467.86

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Solution

The fourth proportional to 308,251.50, 462,470.49 and 218,467.86 is: 327,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,251.50 : 462,470.49 = 218,467.86 : x
  2. Step 2: Convert to fraction form
    308,251.50/462,470.49 = 218,467.86/x
  3. Step 3: Cross multiply
    308,251.50x = 462,470.49 × 218,467.86
  4. Step 4: Simplify right side
    308,251.50x = 101,034,938,263.45
  5. Step 5: Solve for x
    x = 101,034,938,263.45/308,251.50
  6. Step 6: Final answer
    x = 327,767.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.